{"id":"https://openalex.org/W4391532970","doi":"https://doi.org/10.1007/s12190-024-01993-w","title":"An orthogonal spline collocation method for singularly perturbed parabolic reaction\u2013diffusion problems with time delay","display_name":"An orthogonal spline collocation method for singularly perturbed parabolic reaction\u2013diffusion problems with time delay","publication_year":2024,"publication_date":"2024-02-05","ids":{"openalex":"https://openalex.org/W4391532970","doi":"https://doi.org/10.1007/s12190-024-01993-w"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-024-01993-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-01993-w","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059320210","display_name":"Jewel Howlader","orcid":"https://orcid.org/0009-0002-2970-4995"},"institutions":[{"id":"https://openalex.org/I90425906","display_name":"South Asian University","ror":"https://ror.org/02kjyst95","country_code":"IN","type":"education","lineage":["https://openalex.org/I90425906"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jewel Howlader","raw_affiliation_strings":["Department of Mathematics, South Asian University, New Delhi, 110068, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, South Asian University, New Delhi, 110068, India","institution_ids":["https://openalex.org/I90425906"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047009453","display_name":"Pankaj K. Mishra","orcid":"https://orcid.org/0000-0003-4907-4724"},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Pankaj Mishra","raw_affiliation_strings":["Department of Mathematics, Deshbandhu College, University of Delhi, New Delhi, 110019, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Deshbandhu College, University of Delhi, New Delhi, 110019, India","institution_ids":["https://openalex.org/I110166357"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078092280","display_name":"Kapil K. Sharma","orcid":"https://orcid.org/0000-0001-9229-9190"},"institutions":[{"id":"https://openalex.org/I90425906","display_name":"South Asian University","ror":"https://ror.org/02kjyst95","country_code":"IN","type":"education","lineage":["https://openalex.org/I90425906"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Kapil K. Sharma","raw_affiliation_strings":["Department of Mathematics, South Asian University, New Delhi, 110068, India"],"raw_orcid":"https://orcid.org/0000-0001-9229-9190","affiliations":[{"raw_affiliation_string":"Department of Mathematics, South Asian University, New Delhi, 110068, India","institution_ids":["https://openalex.org/I90425906"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078092280"],"corresponding_institution_ids":["https://openalex.org/I90425906"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":3.1509,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.9128962,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"70","issue":"2","first_page":"1069","last_page":"1101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9746000170707703,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8533861637115479},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.6398646235466003},{"id":"https://openalex.org/keywords/crank\u2013nicolson-method","display_name":"Crank\u2013Nicolson method","score":0.6119698286056519},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5329198837280273},{"id":"https://openalex.org/keywords/equidistant","display_name":"Equidistant","score":0.5258386731147766},{"id":"https://openalex.org/keywords/orthogonal-collocation","display_name":"Orthogonal collocation","score":0.5090088844299316},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.4953559637069702},{"id":"https://openalex.org/keywords/thin-plate-spline","display_name":"Thin plate spline","score":0.46828362345695496},{"id":"https://openalex.org/keywords/dirichlet-boundary-condition","display_name":"Dirichlet boundary condition","score":0.4648085832595825},{"id":"https://openalex.org/keywords/hermite-spline","display_name":"Hermite spline","score":0.45401114225387573},{"id":"https://openalex.org/keywords/collocation-method","display_name":"Collocation method","score":0.4522550106048584},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.449209064245224},{"id":"https://openalex.org/keywords/dirichlet-problem","display_name":"Dirichlet problem","score":0.4425329864025116},{"id":"https://openalex.org/keywords/smoothing-spline","display_name":"Smoothing spline","score":0.4331167936325073},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4198809266090393},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.4173658788204193},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.3834972083568573},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.3295813798904419},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.2670496106147766},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2020740509033203},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.17555740475654602},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.11503815650939941}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8533861637115479},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.6398646235466003},{"id":"https://openalex.org/C180931078","wikidata":"https://www.wikidata.org/wiki/Q588725","display_name":"Crank\u2013Nicolson method","level":3,"score":0.6119698286056519},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5329198837280273},{"id":"https://openalex.org/C158245278","wikidata":"https://www.wikidata.org/wiki/Q4386982","display_name":"Equidistant","level":2,"score":0.5258386731147766},{"id":"https://openalex.org/C114609681","wikidata":"https://www.wikidata.org/wiki/Q24839227","display_name":"Orthogonal collocation","level":5,"score":0.5090088844299316},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.4953559637069702},{"id":"https://openalex.org/C93132110","wikidata":"https://www.wikidata.org/wiki/Q7784288","display_name":"Thin plate spline","level":4,"score":0.46828362345695496},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.4648085832595825},{"id":"https://openalex.org/C186763157","wikidata":"https://www.wikidata.org/wiki/Q5741918","display_name":"Hermite spline","level":5,"score":0.45401114225387573},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.4522550106048584},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.449209064245224},{"id":"https://openalex.org/C2779560616","wikidata":"https://www.wikidata.org/wiki/Q1192869","display_name":"Dirichlet problem","level":3,"score":0.4425329864025116},{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.4331167936325073},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4198809266090393},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.4173658788204193},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3834972083568573},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3295813798904419},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.2670496106147766},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2020740509033203},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.17555740475654602},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.11503815650939941},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-024-01993-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-01993-w","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1226-0061","issn":["1226-0061","1229-9499","1229-9502","1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W577962163","https://openalex.org/W1605753492","https://openalex.org/W1992292037","https://openalex.org/W1999467193","https://openalex.org/W2036044118","https://openalex.org/W2052798315","https://openalex.org/W2054914575","https://openalex.org/W2059204953","https://openalex.org/W2094629531","https://openalex.org/W2094631910","https://openalex.org/W2101930273","https://openalex.org/W2108081300","https://openalex.org/W2114090429","https://openalex.org/W2118572547","https://openalex.org/W2226129281","https://openalex.org/W2618607800","https://openalex.org/W2987315207","https://openalex.org/W2996778684","https://openalex.org/W3091982195","https://openalex.org/W4223429834","https://openalex.org/W4229842459","https://openalex.org/W4290828441"],"related_works":["https://openalex.org/W2318458717","https://openalex.org/W2037532746","https://openalex.org/W2102842245","https://openalex.org/W2117487173","https://openalex.org/W2021080833","https://openalex.org/W2106020793","https://openalex.org/W1975728046","https://openalex.org/W1125029139","https://openalex.org/W4307168714","https://openalex.org/W2139227081"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}